00:01
Hello students, we have a curve.
00:04
So this is the xy curve starting from 0.
00:07
We have 1 meter to the x -axis and 1 meter in the y -axis and the curve equation y is equal to x cube.
00:17
So the equation for centroid x dash y dash, right? that is a centroid.
00:23
So x dash is equal to 1 by a times integral of xy dx and y dash is equal to 1 by a times integral of y dx.
00:37
This is a centroid equation to find out centroid.
00:44
So area will be equal to integral of y dx that is the area.
00:50
So that is equal to integral of x cube times dx from 0 to 1.
00:57
So that is equal to x raised to 4 by 4.
01:00
So that is equal to 1 by 4.
01:03
So we got the area.
01:05
So let's find out x dash.
01:06
So that is equal to 4 times integral of x times y is equal to x cube dx is equal to 4 times from 0 to 1 from 0 to 1.
01:21
So that is 4 times x raised to 4 by 4...